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2745995472 = 2433113531637
BaseRepresentation
bin1010001110101100…
…1001000011010000
321002101002000122000
42203223021003100
521110433323342
61132252114000
7125022401463
oct24353110320
97071060560
102745995472
11118a052050
12647765900
13349b9c1bc
141c09a72da
1511111d44c
hexa3ac90d0

2745995472 has 160 divisors (see below), whose sum is σ = 8628197760. Its totient is φ = 829255680.

The previous prime is 2745995443. The next prime is 2745995477.

2745995472 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 99 + 547 + 2 = 666.

2745995472 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27459954722 = 15080982264489005568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745995477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1676638 + ... + 1678274.

It is an arithmetic number, because the mean of its divisors is an integer number (53926236).

Almost surely, 22745995472 is an apocalyptic number.

2745995472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2745995472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314098880).

2745995472 is an abundant number, since it is smaller than the sum of its proper divisors (5882202288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2745995472 is a wasteful number, since it uses less digits than its factorization.

2745995472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2006 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 2745995472 is about 52402.2468220591. The cubic root of 2745995472 is about 1400.3392837558.

The spelling of 2745995472 in words is "two billion, seven hundred forty-five million, nine hundred ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 353 396 432 528 594 706 792 1059 1188 1412 1584 1637 2118 2376 2824 3177 3274 3883 4236 4752 4911 5648 6354 6548 7766 8472 9531 9822 11649 12708 13096 14733 15532 16944 18007 19062 19644 23298 25416 26192 29466 31064 34947 36014 38124 39288 44199 46596 50832 54021 58932 62128 69894 72028 76248 78576 88398 93192 104841 108042 117864 139788 144056 152496 162063 176796 186384 209682 216084 235728 279576 288112 324126 353592 419364 432168 486189 559152 577861 648252 707184 838728 864336 972378 1155722 1296504 1677456 1733583 1944756 2311444 2593008 3467166 3889512 4622888 5200749 6356471 6934332 7779024 9245776 10401498 12712942 13868664 15602247 19069413 20802996 25425884 27737328 31204494 38138826 41605992 50851768 57208239 62408988 76277652 83211984 101703536 114416478 124817976 152555304 171624717 228832956 249635952 305110608 343249434 457665912 686498868 915331824 1372997736 2745995472